Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916153726599168 |
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| author | Dũng, Dinh |
| author_facet | Dũng, Dinh |
| contents | We give a short survey of recent results on sparse-grid linear algorithms of approximate recovery and integration of functions possessing a unweighted or weighted Sobolev mixed smoothness based on their sampled values at a certain finite set. Some of them are extended to more general cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04994 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness Dũng, Dinh Numerical Analysis We give a short survey of recent results on sparse-grid linear algorithms of approximate recovery and integration of functions possessing a unweighted or weighted Sobolev mixed smoothness based on their sampled values at a certain finite set. Some of them are extended to more general cases. |
| title | Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2309.04994 |